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Simplifying 6(6x + -2) + 3(13 + -5x) + -5(4x + 1) = -4 Reorder the terms: 6(-2 + 6x) + 3(13 + -5x) + -5(4x + 1) = -4 (-2 * 6 + 6x * 6) + 3(13 + -5x) + -5(4x + 1) = -4 (-12 + 36x) + 3(13 + -5x) + -5(4x + 1) = -4 -12 + 36x + (13 * 3 + -5x * 3) + -5(4x + 1) = -4 -12 + 36x + (39 + -15x) + -5(4x + 1) = -4 Reorder the terms: -12 + 36x + 39 + -15x + -5(1 + 4x) = -4 -12 + 36x + 39 + -15x + (1 * -5 + 4x * -5) = -4 -12 + 36x + 39 + -15x + (-5 + -20x) = -4 Reorder the terms: -12 + 39 + -5 + 36x + -15x + -20x = -4 Combine like terms: -12 + 39 = 27 27 + -5 + 36x + -15x + -20x = -4 Combine like terms: 27 + -5 = 22 22 + 36x + -15x + -20x = -4 Combine like terms: 36x + -15x = 21x 22 + 21x + -20x = -4 Combine like terms: 21x + -20x = 1x 22 + 1x = -4 Solving 22 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 1x = -4 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = -4 + -22 1x = -4 + -22 Combine like terms: -4 + -22 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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